Write 53/16 as a decimal.​

The probability that ten hats given to ten people will consist of more blue caps than red caps is given as follows:

a. 0.2.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The outcomes in which there are more blue than red caps are those in which the number of zeros is greater than the number of ones, hence the number of desired outcomes is of:

2. (simulation number 7 and simulation number 10).

Hence the probability is of:

p = 2/10

p = 0.2.

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The list that represents the simulation of three free throws is 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

An arrangement of objects where the order in which the objects are selected does not matter.

Given that  random numbers is being used to stimulate event of a basketball player making three free throws in a row

The list is given as:

860583 785814 010122 337198 621549 034076 796495 978078 433330 333153

When rearranged, we have: 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

Hence, the list that represents the simulation of three free throws is 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

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Answer:

x=5

Step-by-step explanation:

it's correct one (B)

Evaluating [log2(3)].[log3(4)].[log4(5)]...[log63(64)] is 6

We can use the property that [log_a(b)]=[log_c(b)/log_c(a)] to simplify the expression. Applying this property repeatedly, we get:

[log2(3)].[log3(4)].[log4(5)]...[log63(64)]

= [log2(3)/log2(2)].[log3(4)/log3(3)].[log4(5)/log4(4)]...[log63(64)/log63(62)]

= [log2(3)/1].[log3(4)/1].[log4(5)/1]...[log63(64)/1]

= log2(3) log3(4) log4(5) ... log63(64)

Now, we can use the identity [log_a(b)log_b(c)log_c(d)...log_y(z)] = log_a(z) to combine the logarithms into a single logarithm with a base of 2:

log2(3) log3(4) log4(5) ... log63(64) = log2(64)

Since 2^6 = 64, we have:

log2(64) = 6

Therefore,  [log2(3)].[log3(4)].[log4(5)]...[log63(64)] evaluates to 6.

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Answer:

Explanation:

Here, we want to get the amount incurred by running appliances and refrigeration

Firstly, we need to calculate the KWh used by these activities

This is 13% of the total

Thus, we have that as:

To get the cost of this, we have to multiply by $0.15

Mathematically, we have that as:

Answer:

we can describe this by using the formulas of Trigonometric functions..........Thank u.....

Answer:

the answer is 21 because

Step-by-step explanation:

28÷4=7

28-7=21

Answer:

21 boys

Step-by-step explanation:

girls:boys

    4:3

  28:x

girls:

 4 became 28 by multiplying 4 by 7

So do the same to boys

Therefore,

 when we multiply 3 by 7

     =21 boys

Hope you got it

If you have any question just ask me

If you think this is the best answer please mark me as BRAINLIEST

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

\( \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}\)

Step-by-step explanation:

Let the points be A and B

Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂

Finding the midpoint

\( \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}\)

\(\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}\)

\( \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}\)

\( \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}\)

Hope I helped!

Best regards! :D

Answer:

Assuming you mean like a savings account. A financial reserve is created to save money over time to cover events such as emergency surgery, etc.

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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Answer:

Step-by-step explanation:

(a) The figure shows the diameter of the pipe is 4 ft, so its radius is 2 ft. The equation for the volume of a cylinder is ...

  V = πr^2·h

Filling in r=2 and h=18, we have ...

  V = π(2 ft)^2(18 ft) = 72π ft^3

The exact volume is 72π ft³.

__

(b) Using a sufficiently accurate value of pi, the numerical value of the volume is ...

  72π ft^3 ≈ 226.19 ft^3

The approximate volume is 226.19 ft³.

Answer:1)Number of different license plates can be made =17576×100×260=456976000

2)Probability of getting a plate with abc123 or 123 abc=0.0000004

Given that :-A license plate has six characters.

As three characters are letters ∴ ways of these 3 letters into the plate with repetition = 26×26×26=17576 ways

and  two characters are numbers (0-9 - total 10 characters)∴ways of these 2 numbers into the plate with repetition=10×10 =100 ways

and one character is a letter or a number=26×10=260

So number of different license plates can be made =17576×100×260=456976000

Now Probability of getting a plate with abc123 or 123 abc

=P(abc123 or 123abc)=P(abc123)+P(123abc)-P(abc123)×P(123abc)=1/456976000+1/456976000-1/456976000×1/456976000

=1/456976000(1+1-1/456976000)

=1/456976000(2-0.0000002)=2/456976000=0.0000004

Probability of getting a plate with abc123 or 123 abc=0.0000004

Answer:

the answer is 15

Step-by-step explanation:

sorry if wrong

if right can i get a brainliest

give guy  under me a branliest

Answer:

X = 15

Step-by-step explanation:

the angle opposite to 4x is equal to 60. since they're both supposed to be equal, I divided 60 by 4, which is how I got 15

Answer:

20%

Step-by-step explanation:

You do 3 divided by 15 which is 0.2, or 20 percent.

Divide the number of costumers served during the second week by the number of costumers that were served on the first week, multiply by 100 and substract 100 to find the percent increase:

Therefore, the percent increase in costumers served from the first week to the second week is approximately 206%.

Answer:

The indifference point is 20 gallons.

Step-by-step explanation:

Giving the following information:

Quik-Clean Car Wash:

$15 for a car wash plus $2.50 per gallon for unleaded gasoline.

Mighty Clean Car Wash:

$10 for a carwash plus $2.75 per for unleaded gasoline.

First, we need to structure the total cost formula:

Quik-Clean= 15 + 2.5x

Mighty Clean= 10 + 2.75x

x= gallon of gasoline

Now, we equal both formulas and isolate x:

15 + 2.5x = 10 + 2.75x

5 = 0.25x

20 = x

The indifference point is 20 gallons.

Prove:

Quik-Clean= 15 + 2.5*20= $65

Mighty Clean= 10 + 2.75*20= $65

Alva nunez total pay for the week in which she presses 310 moldings is

The cost per unit of an item is represented by the unit price.

To determine the unit price of an item, we divide the price of a specific number of units by the number of units.

If she earns $0.95 for every holding she presses this means that the unit price is 0.95

for 310 moldings Alva nunez will earn

= 0.95 * 310

= 294.5

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The interest rate needed to double the investment in 18 years is  6%.

Interest earned is a function of the amount invested, interest rate and time. The future value of the investment is to be $6000 (3000 x 2). Interest earned would be $3000 (6000 - 3000)

Interest rate = interest earned / (amount invested x time )

$3000 / ($3000 x 18) = 6%

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The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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Answer:

1, -4

Step-by-step explanation:

Let  x^-1 = 1/x = y

1. Root 1

2. Root 2

Answer:

Let the number be x

According to Question ,

2x + 3x = 40

5x = 40

x = 8

therefore , the number is 8

hope that helps uh...☺

The perimeter and area of the square are; 24√2 units and 12 units² respectively

Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)

But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.

SQ = √(x₂ - x₁)² + (y₂ - y₁)²

SQ = √(2 - (-4)² + (5 - 11)²

SQ = 6√2

Let's find QU

QU = √(-4 - 2)² + (-1 - 5)²

QU = 6√2

Let's find UA ;

UA = √(-10 - (-4))² - (5 - (-1)²

UA = 6√2

And the distance AS = 6√2

The perimeter of the square = 4 (6√2)

Perimeter = 24√2 units

The area of the square = l²

Area of the square = (6√2)²

Area of square = 12 units²

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Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Answer:

Step-by-step explanation:

Answer: the sum of one interior angle and one exterior angle is 180. x+120=180. x=180-120. x=60°. sum of angles in a triangle is 180.

Susan uses 500 milliliters of solution b to obtain a resulting mixture with 102 milliliters of pure alcohol.

Let's set up the equation based on the given information.

Let x represent the amount of solution b in milliliters.

Since Susan uses 100 milliliters less of solution a than solution b, the amount of solution a is (x - 100) milliliters.

We know that solution a has a concentration of 13% alcohol, which means that for every 100 milliliters, it contains 13 milliliters of alcohol.

Similarly, solution b has a concentration of 10% alcohol, which means that for every 100 milliliters, it contains 10 milliliters of alcohol.

Given that the resulting mixture has 102 milliliters of pure alcohol, we can set up the equation:

0.13(x - 100) + 0.1x = 102

Simplifying the equation, we have:

0.13x - 13 + 0.1x = 102

0.23x - 13 = 102

0.23x = 115

x = 115 / 0.23

x = 500

Therefore, Susan uses 500 milliliters of solution b to obtain a resulting mixture with 102 milliliters of pure alcohol.

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